Abstract
In this paper, an algorithm that determines a real algebraic curve is outlined. Its basic step is to divide the plane into subdomains that include only simple branches of the algebraic curve without singular points. Each of the branches is then stably and efficiently traced in the particular subdomain. Except for the tracing, the algorithm requires only a couple of simple operations on polynomials that can be carried out exactly if the coefficients are rational, and the determination of zeros of several polynomials of one variable. (author). 5 refs, 4 figs.
Falai, Chen;
[1]
Yuyu, Feng;
[2]
Kozak, J
[3]
- University of Science and Technology of China, Hefei, Anhui (China). Dept. of Mathematics
- International Centre for Theoretical Physics, Trieste (Italy)
- Ljubljana Univ., Ljubljana (Slovenia). Dept. of Mathematics
Citation Formats
Falai, Chen, Yuyu, Feng, and Kozak, J.
Tracing a planar algebraic curve.
IAEA: N. p.,
1994.
Web.
Falai, Chen, Yuyu, Feng, & Kozak, J.
Tracing a planar algebraic curve.
IAEA.
Falai, Chen, Yuyu, Feng, and Kozak, J.
1994.
"Tracing a planar algebraic curve."
IAEA.
@misc{etde_10112380,
title = {Tracing a planar algebraic curve}
author = {Falai, Chen, Yuyu, Feng, and Kozak, J}
abstractNote = {In this paper, an algorithm that determines a real algebraic curve is outlined. Its basic step is to divide the plane into subdomains that include only simple branches of the algebraic curve without singular points. Each of the branches is then stably and efficiently traced in the particular subdomain. Except for the tracing, the algorithm requires only a couple of simple operations on polynomials that can be carried out exactly if the coefficients are rational, and the determination of zeros of several polynomials of one variable. (author). 5 refs, 4 figs.}
place = {IAEA}
year = {1994}
month = {Sep}
}
title = {Tracing a planar algebraic curve}
author = {Falai, Chen, Yuyu, Feng, and Kozak, J}
abstractNote = {In this paper, an algorithm that determines a real algebraic curve is outlined. Its basic step is to divide the plane into subdomains that include only simple branches of the algebraic curve without singular points. Each of the branches is then stably and efficiently traced in the particular subdomain. Except for the tracing, the algorithm requires only a couple of simple operations on polynomials that can be carried out exactly if the coefficients are rational, and the determination of zeros of several polynomials of one variable. (author). 5 refs, 4 figs.}
place = {IAEA}
year = {1994}
month = {Sep}
}